Czech

Not applicable.

Institute of Mathematics and Descriptive Geometry (MAT)

The students should be able to construct ellipse by focus properties, the principles of perspective affinity, perspective collineation. They will get the basics of projection: Monge`s, orthogonal axonometry, basic problems and be able to solve simple 3D problems, display simple geometric solids and surfaces in each type of projection.

Basic knowledge of planar and 3D geometry as taught at secondary schools and basic skills of work with a ruler and pair of compasses.

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Requirements for successful completion of the subject are specified by guarantor’s regulation updated for every academic year.

1. Constructions of basic figures in plane (euclidean constructions in plane, identical and similarity transforms). Extended Euclidean space. Construction of ellipse by focus properties.
2. Tangent line to ellipse from a point and parallel to a given direction.
Central and parallel projection. Perspective affinity, perspective collineation, examples.
3. Circle in affinity,Rytz`s construction, trammel construction.
Basic of solid geometry. Simple solids (pyramid, prism, cone, cylinder,sphere). System of basic problems.
4. Monge`s projection. Projection of point, line, plane. Basic problems.
5. Monge`s projection. Basic problems. Projection of circle.
6. Monge`s projection. The third projection plane. Constructional problems.
7. Monge`s projection. Projection of a solid.
8. Orthogonal axonometry. Basic problems. Construction in coordinate planes.
9. Orthogonal axonometry. Position problems.
10. Orthogonal axonometry. Projection of solid.

Not applicable.

Students should be able to construct: Euclidean constructions in plane, identical and similarity transforms in plane, ellipse by focus properties, understand the principles of perspective affinity, perspective collineation, using such properties in solving problems, understand and get the basics of projection: Monge`s, orthogonal axonometry. They should develop 3D visualization and be able to solve simple 3D problems, display simple geometric solids and surfaces in each type of projection.

Extent and forms are specified by guarantor’s regulation updated for every academic year.

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26 hours, obligation not entered